Search a number
-
+
28466424 = 2333767281
BaseRepresentation
bin110110010010…
…1110011111000
31222120020121000
41230211303320
524241411144
62454045000
7463650330
oct154456370
958506530
1028466424
1115083278
129649760
135b88c4c
143ad00c0
152774769
hex1b25cf8

28466424 has 128 divisors (see below), whose sum is σ = 92044800. Its totient is φ = 7983360.

The previous prime is 28466407. The next prime is 28466437. The reversal of 28466424 is 42466482.

It is a happy number.

28466424 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 642 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101164 + ... + 101444.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 228466424 is an apocalyptic number.

28466424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28466424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022400).

28466424 is an abundant number, since it is smaller than the sum of its proper divisors (63578376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28466424 is a wasteful number, since it uses less digits than its factorization.

28466424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 28466424 is about 5335.3935187575. The cubic root of 28466424 is about 305.3357370740.

The spelling of 28466424 in words is "twenty-eight million, four hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 281 378 402 469 504 536 562 603 756 804 843 938 1124 1206 1407 1512 1608 1686 1809 1876 1967 2248 2412 2529 2814 3372 3618 3752 3934 4221 4824 5058 5628 5901 6744 7236 7587 7868 8442 10116 11256 11802 12663 14472 15174 15736 16884 17703 18827 20232 23604 25326 30348 33768 35406 37654 47208 50652 53109 56481 60696 70812 75308 101304 106218 112962 131789 141624 150616 169443 212436 225924 263578 338886 395367 424872 451848 508329 527156 677772 790734 1016658 1054312 1186101 1355544 1581468 2033316 2372202 3162936 3558303 4066632 4744404 7116606 9488808 14233212 28466424